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Finding the Fourth Proportional to 434.09, 598.89 and 268.34

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Solution

The fourth proportional to 434.09, 598.89 and 268.34 is: 370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 598.89 = 268.34 : x
  2. Step 2: Convert to fraction form
    434.09/598.89 = 268.34/x
  3. Step 3: Cross multiply
    434.09x = 598.89 × 268.34
  4. Step 4: Simplify right side
    434.09x = 160,706.14
  5. Step 5: Solve for x
    x = 160,706.14/434.09
  6. Step 6: Final answer
    x = 370.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.